Can someone help me with this

Can Someone Help Me With This

Answers

Answer 1

It takes 8 months for the investment to grow to $6000 if interest was compounded quarterly.

What is compound interest?
The interest charged on a loan as well as deposit is known as compound interest. It is the idea that we use the most frequently on a daily basis. Compound interest is calculated for an amount based on both the principal and cumulative interest. The main distinction between compound as well as simple interest is this.

Given:

Principal amount = $5000

Annual amount interest = 2.6%

Compounded quarterly = 4

Final amount = $7000

Formula:

A = P(1 + r)^4n - 1

A is the quarterly compounded interest.

P would be the principal amount.

r is the quarterly compounded rate of interest.

n is the number of periods.

Solving it:

7000 = 5000 (( 1 + 0.026))^ 4t -1

7/5 = (( 1 + 0.026))^ 4t

7/5 = (1.026)^ 4t -1

ln (7/5) = 4t ln (1.006) - ln 1

t = 7.61 months

t ~ 8months

Hence, it takes 8 months for the investment to grow to $6000 if interest was compounded quarterly.

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Related Questions

PLEASEEEEEEE HELP DUE NOWWWWWWWWW

Answers

Answer is y = -3/4x + 8

Step by step

Slope intercept form is y = mx + b

m = slope
b = y intercept

We can see slope on the graph is rise -3 and run +4 so m= -3/4

We can see where the line crosses the y axis or y intercept is b = 8

So our equation is y = -3/4x + 8

The half-life of Radium-226 is 1590 years. If a sample contains 200 mg}, how many mg will remain after 1000 years?
_________mg
Give your answer accurate to at least 2 decimal places.

Answers

Answer:

137.11 mg

Step-by-step explanation:

divide 200 mg by 2 = 100 mg

divide 100 by 1590 = 0.0628930818

multiply this by 1000 = 62.8930818

subtract 62.8930818 from 200 = 137.1069182

137.1069182 rounded to 2 decimal places is 137.11 mg

therefore, the answer is 137.11 mg

find the simple interesr on ₹20000 for 4 ¹/2 years at 8¹/2% per anum​

Answers

Answer:

7650 rupees

Step-by-step explanation:

Use I = Pnr

Here P = Principal = 20000 rupees

n = time = 4.5 years

r = rate of interest = 8.5% = 8.5/100

Write the equation of the linear relationship in slope-intercept form.




The equation that represents this relationship is y =
(select)

Answers

Answer:

Number 2

Step-by-step explanation:

Please help will mark Brainly

Answers

The solutions of the equation 3x - y = 1 are (-2,-7),(-1,-4) and (3,8) thus option (A),(B) and (D) are correct.

What is the equation?

There are many different ways to define an equation. The definition of an equation in algebra is a mathematical statement that demonstrates the equality of 2 mathematical expressions.

In another word, the equation must be constrained with some constraints.

As per the given equation,

3x - y = 1

Substitute, x = -2

3(-2) - y = 1

y = -7 thus  (-2,-7) satisfied.

Similarly (-1,-4) and (3,8) are also satisfied.

Hence "The solutions of the equation 3x - y = 1 are (-2,-7),(-1,-4) and (3,8)".

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In a certain Algebra 2 class of 27 students, 11 of them play basketball and 13 of them play baseball. There are 5 students who play neither sport. What is the probability that a student chosen randomly from the class plays basketball or baseball?

Answers

Answer:

22/27

Step-by-step explanation:

5 play nothing.

27 - 5 = 22

22 play basketball only or baseball only or both.

p(plays baseball or basketball) = 22/27

Find the volume of the solid generated by revolving the region bounded by y = x
and y = x²-3x about the x axis

Answers

The volume of the solid generated by revolving the region bounded by y = x and y = x²-3x about the x-axis will be x³/3-3x²/2+c.

What is the equation?

An equation is a statement that two expressions, which include variables and/or numbers, are equal. In essence, equations are questions, and efforts to systematically find solutions to these questions have been the driving forces behind the creation of mathematics.

It is given that,

y = x²-3x

The volume of the solid generated by revolving the region bounded by y = x and y = x²-3x about the x-axis is obtained as,

[tex]=\int\:x^2-3x \ dx \\\\ = \int \:x^2dx-\int \:3xdx \\\\ =\frac{x^3}{3}-\frac{3x^2}{2} \\\\ =\frac{x^3}{3}-\frac{3x^2}{2}+C[/tex]

Thus, the volume of the solid generated by revolving the region bounded by y = x and y = x²-3x about the x-axis will be x³/3-3x²/2+c.

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A steel beam can be cut to different lengths for a project. Assuming the weight of a steel beam is proportional to
its length, what information would you need to know to write an equation that represents this relationship?

Answers

Answer:

You can write a statement of proportionality without any additional information:

... weight = k × length . . . . . . . . for some constant k

If you need to know the specific weight of a specific length, then you need to know the constant of proportionality (the value of k).

Step-by-step explanation:

3.13.R Question:
Which of the following are exponential functions? (select all that apply)

Answers

The functions representing exponential growth or decay are f(x) = 3²ˣ⁺¹, f(x) = 0.8ˣ⁻⁰, f(x) = π⁴ˣ, f(x) = (4/9)ˣ, f(x) = -(3)ˣ, f(x) = (-3)ˣ

Exponential Function

An exponential function is defined by the formula f(x) = aˣ, where the input variable x occurs as an exponent. The exponential curve depends on the exponential function and it depends on the value of the x.

The exponential function is an important mathematical function which is of the form f(x) = aˣ

Where a>0 and a is not equal to 1, and x is any real number.

If the variable is negative, the function is undefined for -1 < x < 1.

Here,

“x” is a variable“a” is a constant, which is the base of the function.

An exponential curve grows, or decay depends on the exponential function. Any quantity that grows or decays by a fixed per cent at regular intervals should possess either exponential growth or exponential decay.

In the question, the functions that are exponential are

f(x) = 3²ˣ⁺¹, f(x) = 0.8ˣ⁻⁰, f(x) = π⁴ˣ, f(x) = (4/9)ˣ, f(x) = -(3)ˣ, f(x) = (-3)ˣ

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Please answer fast will give 100 point things.



QUESTION BELOW

I WILL REPORT TROLLS!

THANK YOU

Answers

Answer:

A.  56

Step-by-step explanation:

Let the three consecutive integers be:

xx + 1x + 2

Given:

The sum of three consecutive integers is 30 more than twice the smallest integer.

Create an equation with the given information and solve for x:

[tex]\implies x+(x+1)+(x+2)=2x+30[/tex]

[tex]\implies 3x+3=2x+30[/tex]

[tex]\implies 3x+3-2x=2x+30-2x[/tex]

[tex]\implies x+3=30[/tex]

[tex]\implies x+3-3=30-3[/tex]

[tex]\implies x=27[/tex]

Therefore, the three consecutive integers are:

27, 28 and 29.

So the sum of the first and last integer is:

[tex]\implies 27+29=56[/tex]

Answer:

a) 56 --- (27, 28, 29)

Step-by-step explanation:

Forming the equation,

→ x + (x + 1) + (x + 2) = 2x + 30

Now the value of x will be,

→ x + (x + 1) + (x + 2) = 2x + 30

→ x + x + 1 + x + 2 = 2x + 30

→ 3x - 2x = 30 - 3

→ [ x = 27 ]

The last integer will be,

→ x + 2

→ 27 + 2 = 29

Sum of first and last integer is,

→ x + (x + 2)

→ 27 + (27 + 2)

→ 27 + 29 = 56

Hence, required answer is 56.

See question in screenshot below:

Answers

The cos, tan, sec, csc and cot of the angle θ in quadrant IV are 3/5, -4/3, 5/3, -5/4 and -3/4 respectively

How to find the trigonometric ratio of the angle?

Trigonometry is a branch of mathematics dealing with the relationship between the ratios of the sides of a right-angled triangle with its angles.

Given that: sin(θ) = -4/5 and θ is in quadrant 4.

Using this information, we can sketch the location of the angle θ in the quadrant (See the attached image). Therefore:

(a) cos(θ) = 3/5     (adj/hyp)

(b) tan(θ) = -4/3     (opp/adj)

(c) sec(θ) = 1/cos(θ) = 5/3

(d) csc(θ) = 1/sin(θ) = -5/4

(e) cot(θ) = 1/tan(θ) = -3/4

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Evaluate the exponential function f(x)=(1/8)^-x

Answers

The exponential function f(x)=(1/8)^-x can be evaluated to give us:

f(2)= 64f(-3)= 1/512f(-3)= [tex]\frac{1}{\sqrt{\frac{1}{8} } }[/tex]

What is exponential function?

An exponential function  serves as Mathematical function in the form f (x) = ax hving “x” as  variable,the conceptis the concept of  exponential function.

The given function is f(x)=(1/8)^-x

Then f(2)=(1/8)^-2 = 1/(1/8)^2 =1/(1/64) =64

f(-3)=(1/8)^-(-3) = 1/512

f(-3)=(1/8)^-(1/2) =[tex]\frac{1}{\sqrt{\frac{1}{8} } }[/tex]

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Andrea can type 15 words per minute. If she types for 7 minutes, how many
words did she type?

Answers

Answer: 105 words

Step-by-step explanation:

15x7=105

The answer is 105

If in 1 minute she can type 15 words, then you would have to multiply 15 with 7 to get 105 words in 7 minutes

Determine a series of transformations that would map Figure I onto Figure J.
A blank followed by a blank

Answers

The series of transformations that would map Figure M onto Figure N will be firstly rotated about the origin and then translated upward by 3 units.

What is a transformation of a shape?

A point, line, or geometric figure can be transformed in one of four ways, each of which affects the structure and/or location of the object.

From before the refers to the object's initial condition, and Picture, after transformation, refers to the object's ultimate structure and location.

Rotation does not change the shape and size of the geometry. But changes the orientation of the geometry.

If the geometry is rotated, then there is no change in angles.

The translation does not change the shape and size of the geometry. But changes the location.

The series of transformations that would map Figure M onto Figure N will be firstly rotated about the origin and then translated upward by 3 units.

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Disclaimer

The question given by you is incomplete, so a similar question have been solved here and the image is attached.

Determine a series of transformations that would map Figure M onto Figure N.

Match each equation with the inverse operation you should use (on both sides of the equation) to solve for x.
x + 2 = 10 _____
x - 2 = 10 ____
2x = 10 ____
x/2 = 10 ____

Answers

x + 2 = 10

x + 2 - 2 = 10 - 2

x = 8

x - 2 = 10

x - 2 + 2 = 10 + 2

x = 12

2x = 10

2x/2 = 10/2

x = 5

x/2 = 10

x/2 × 2 = 10 × 2

x = 20

I HOPE IT HELPS EVEN THOUGH YOUR ANSWER TO MY QUESTION IS JUST A NONSENSE.

The first angle in a triangle is three times that of a second angle. The second angle is two times that of the third angle. Find the ratio of the angles in the triangle.

Answers

The first angle in a triangle is three times that of a second angle. The second angle is two times that of the third angle. The ratio of the angles in the triangle is 1:2:3.

Define angle.

When two rays are joined at one point, they produce the geometric shape known as an angle. The vertex is the shared point between the two rays, which are known as the arms or sides of the angle. When two rays meet at a point, they make an angle. An "angle" is the term used to describe the "opening" between these two rays, and it is symbolised by the symbol. Angles are typically expressed as 60°, 90°, etc. and are measured in degrees.

Given,

A first angle of let x

2x = 2nd angle

3x = 3rd angle

Angle sum = 180

x + 2x + 3x = 180

6x = 180

Dividing,

x = 30°

2x = 2(30)

2nd angle = 60

3x = 3(30)

3rd angle = 90

30°, 60°, and 90° are the three angles.

Ratio 1:2:3

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8) Find the value of the term in the arithmetic sequence. (an = a₁ + (n-1)d)
27, 22, 17, 12, 7, 2,... (10th term)
a10-18
a10 = -22
a10 = -20
a10 = -21

Answers

The given term of the arithmetic sequence is -18. The correct option is (A).

What is an arithmetic sequence?

An arithmetic sequence is a kind of sequence of numbers where the difference of any two consecutive terms are the same.

This difference is known as the common difference of the sequence.

The given arithmetic sequence is as below,

27, 22, 17, 12, 7, 2,...

Since the nth term of an arithmetic sequence is given as,

aₙ = a₁ + (n - 1)d

Where d is the common difference.

The common difference for the given sequence is,

d = 22 - 27

  = -5

Substitute d = -5 and n = 10 in the general form of nth term to obtain,

a₁₀ = a₁ + (n - 1)d

     = 27 + -5(10 - 1)

     = 27 - 45

     = -18

Hence, the value of the 10th term of the given sequence is -18.

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subtract 9t*3-3t+8 and t*2-8t+4 from the sum of 12t+8 and t*2 - 10t +3.

Answers

⇒Find the sum of  12t+8 and [tex]t^{2} -10t+3[/tex]

⇒For sum we add:

[tex]=(12t+8)+(t^{2} -10t+3)\\=12t-10t+8+3+t^{2} \\=2t+11+t^{2}[/tex]

⇒The next step is to subtract [tex]9t^{3} -3t+8[/tex] and [tex]t^{2} -8t+4[/tex] from the answer we got above.

[tex]=(2t+11+t^{2} )-(9t^{3} -3t+8)-(t^{2} -8t+4)\\=2t+11+t^{2} -9t^{3} +3t-8-t^{2} +8t-4\\=2t+3t+8t+11-8-4+t^{2} -t^{2} -9t^{3} \\=13t-1-9t^{3} \\[/tex]

⇒The answer  is shown above.

Two cones are similar. The volume of the larger cone is 27 cm³ and the volume of the smaller cone is 8 cm³. The height of th
smaller cone is 2 cm.
What is the height of the larger cone?
Enter your answer in the box.
cm

Answers

If two cones are similar, then the height of the larger cone will be equal to 3 cm.

What is the area?

An object's area is how much space it takes up in two dimensions. It is the measurement of the number of unit squares that completely encompass the surface of a compact figure. The squared unit, which is frequently expressed as inches, square feet, etc., is the accepted unit of area.

As per the data provided in the question,

For volume, the scale factor is,

k³ = 27/8

For length, the scale factor is,

k = ∛27/8

k = 3/2

Then the height of the larger will be,

h = 3/2 × 2

h = 3 cm.

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A theatre contains 414 seats and the ticket prices for a recent play were ​$47 for adults and ​$22 for children. If the total proceeds were ​$12,983 for a​ sold-out matinee, how many of each type of ticket were​ sold?

Answers

The system of linear equations shows that the adult tickets was 155 and children ticket was 259

System of Linear Equation

In algebra, a system of equations comprises two or more equations and seeks common solutions to the equations. "A system of linear equations is a set of equations which are satisfied by the same set of variables."

To solve this problem, we can set up two equations for this

Let;

adult ticket = xchildren ticket = y

x + y = 414 ...eq(i)

47x + 22y = 12983 ...eq(ii)

Solving both equations; the values of x and y are 155 and 259 respectively

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POLIGONOS: si tengo de informacion que 360 entre n es igual a 72 como puedo saber cual es el angulo interno la suma de angulos interno y el nombre del poligono?

Answers

El polígono regular tiene las características de un pentágono, cuya medida de ángulo central es 72° y la suma de todos los ángulos centrales es igual a 360°.

¿Qué polígono tiene un ángulo central de 72 grados?

En este problema debemos determinar que polígono regular tiene un ángulo central con medida de 72°, la suma de todos los ángulos centrales de un polígono es igual a 360°. El número de lados del polígono se puede determinar mediante la siguiente operación:

n = 360° / θ

Donde θ es la medida del ángulo central, en grados.

Si sabemos que θ = 72°, entonces el número de lados del polígono:

n = 360° / 72°

n = 5

El polígono regular es un pentágono.

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Draw your own face using the grid below and write down the coordinates of the outline

Answers

Answer:

Step-by-step explanation:

You need a take a picture so I know what question your talking about

Evaluate the expression for the given values. If a=3 and b=−6​, find a−b2.

Answers

Answer:

-33

Step-by-step explanation:

just fill in the values

3-6^2

3-36

-33

Hopes this helps please mark brainliest

Answer:

-33

Step-by-step explanation:

a = 3; b = -6

a - b² = 3 - (-6)² = 3 - 36 = -33

express 1-tan(a) as a product

Answers

The given expression 1-tan(a) is simplified as (cos(a)-sin(a))/cos(a).

The given trigonometric expression is 1-tan(a).

What are trigonometric ratios?

The sides and angles of a right-angled triangle are dealt with in Trigonometry. The ratios of acute angles are called trigonometric ratios of angles. The six trigonometric ratios are sine (sin), cosine (cos), tangent (tan), cotangent (cot), cosecant (cosec), and secant (sec).

We know that, tanθ=sinθ/cosθ

Now, 1-tan(a) =1-sin(a)/cos(a)

= (cos(a)-sin(a))/cos(a)

Therefore, the given expression 1-tan(a) is simplified as (cos(a)-sin(a))/cos(a).

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Find all values of n for which the equation has two complex (non-real solutions)
6r² = 8r+ (n + 4)

Answers

Answer:

When n < - 6 2/3 the given equation has two complex solutions

------------------------------

Given is a quadratic equation:

6r² = 8r+ (n + 4)  ⇒ 6r² - 8r - (n + 4) = 0

A quadratic equation has no real solutions if its discriminant is negative.

The discriminant of ax² + bx + c is:

D = b² - 4ac

Apply to given equation:

D = (-8)² - 4*6*( - (n + 4)) = 64 + 24(n + 4) = 64 + 24n + 96 = 24n + 160

Find the value of n when D < 0:

24n + 160 < 024n < - 160n < - 160/24 n < - 20/3 n < - 6 2/3

Hotdogs are sold for a dollar and hamburgers are sold for $1.50. 175 hotdogs and hamburgers were sold in $235 was collected. How many hotdogs were sold?

Answers

Answer:

55 Hot dogs were sold

Step-by-step explanation:

Let d = hot dogs

Let h = hamburgers

d + h = 175

d + 1.50h = 235

Re-write

d + h = 175 for d and then substitute this into the second equation

d = 175 - h

d + 1.5 h = 235

175 - h + 1.50h = 235  Combine like terms

175 + .5h = 235  Subtract 175 from both sides

.5 h = 60  Divide both sides by .5

h = 120

120 Hamburgers were sold.  

Plug in 120 for h to solve for hot does

d + h = 175

d + 120 = 175  Subtract 120 from both sides

d = 55

Check

d + 1.5h = 235

55 + 1.5(120) = 235

55 + 180 = 235

235=235

What number of inches is equivalent to 848

Answers

not defined because 848 has no unit

Alright! I have two more questions! Please give an explanation of how to get x ,y, and z! Thanks!

Answers

Using the definition of isosceles and equilateral triangles:

12. x = 77°; y = 58°; z = 122°

13. x = 60°; y = 120°; z = 60°

What are Equilateral and Isosceles Triangles?

All three sides and angles of an equilateral triangle are equal in measure. On the other hand, two sides and two base angles of an isosceles triangle are equal to each other.

12. x = 1/2(180 - 26) [based on the definition of isosceles triangle]

x = 1/2(154)

x = 77°

y = 1/2(180 - (90 - 26)) [based on the definition of isosceles triangle]

y = 1/2(180 - 64)

y = 1/2(116)

y = 58°

z = 180 - 58 [base angles of isosceles triangle are equal]

z = 122°

13. Each interior angle of an equilateral triangle is equal to 60 degrees.

Therefore, x = the measure of one interior angle

x = 60°

y = 180 - 60 [linear pair]

y = 120°

The base angles of the triangle that has two equal sides would be 60° [180 - 120]

Therefore:

z = 180 - 2(60)

z = 60°

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A certain store is selling packages of 10 pencils and 4 pens for back to school. The store manager wants to make a larger package in the same ratio. If the large package has 10 pens, how many pencils are in the large package?

Answers

The number of pencils that will be in the large package, given the ratio of the pencils to pens in the package, is 25 pencils

How to find the number of pencils?

In the original package, the ratio was such that there was 4 pens for every 10 pencils. This means that the number of pencils per pen was:

= 10 / 4

= 2. 5 pencils per pen

If there is a larger package with the same ratio and the number of pens in the package is 10 pens, then the number of pencils would be:

= Number of pens x Pencils per pen

= 10 x 2.5

= 25 pencils

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Which function has a greater y-intercept? f(x)=1/3x+1/2

Answers

Answer:

f(x)

Step-by-step explanation:

the function g(x) has y-interception in point (0;0), the function f(x) has y-interception in point (0; 1/3). For more details see the attachment.

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